1. What is the Force on Current Carrying Wires?

The force on a current-carrying wire in a magnetic field is given by the formula F = B × i × l × sin(θ), where B is the magnetic flux density, i is the electric current, l is the length of the conductor, and θ is the angle between the magnetic field and the current direction.

2. How Does the Calculator Work?

The calculator uses the force formula:

Where:

• \( B \) — Magnetic flux density (Tesla)
• \( i \) — Electric current (Ampere)
• \( l \) — Length of conductor (Meter)
• \( \theta \) — Angle between vectors (Degrees)

Explanation: The force is maximum when the current is perpendicular to the magnetic field (θ = 90°) and zero when parallel (θ = 0° or 180°).

3. Importance of Force Calculation

Details: Calculating the force on current-carrying wires is essential for designing electric motors, generators, and other electromagnetic devices. It helps engineers determine the mechanical effects of magnetic fields on conductors.

4. Using the Calculator

Tips: Enter magnetic flux density in Tesla, electric current in Amperes, length of conductor in meters, and angle in degrees (0-180). All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the direction of the force?
A: The direction of the force is perpendicular to both the magnetic field and the current direction, determined by the right-hand rule.

Q2: What happens when θ = 0° or 180°?
A: When the current is parallel or anti-parallel to the magnetic field, sin(θ) = 0, so the force is zero.

Q3: What is the unit of force?
A: The SI unit of force is Newton (N).

Q4: Can this formula be used for AC currents?
A: For AC currents, the instantaneous force can be calculated using instantaneous current values, but the average force may differ.

Q5: What are practical applications?
A: This principle is used in electric motors, loudspeakers, galvanometers, and many other electromagnetic devices.